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Finding the Fourth Proportional to 33,096.56, 49,651.80 and 9,721.04

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Solution

The fourth proportional to 33,096.56, 49,651.80 and 9,721.04 is: 14,583.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,096.56 : 49,651.80 = 9,721.04 : x
  2. Step 2: Convert to fraction form
    33,096.56/49,651.80 = 9,721.04/x
  3. Step 3: Cross multiply
    33,096.56x = 49,651.80 × 9,721.04
  4. Step 4: Simplify right side
    33,096.56x = 482,667,133.87
  5. Step 5: Solve for x
    x = 482,667,133.87/33,096.56
  6. Step 6: Final answer
    x = 14,583.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.